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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 30960.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30960.w1 | 30960bh1 | \([0, 0, 0, 17313113157, -5791074962949142]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-14819917255413748111245312000000000\) | \([]\) | \(205148160\) | \(5.2369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30960.w do not have complex multiplication.Modular form 30960.2.a.w
sage: E.q_eigenform(10)