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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 30345.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30345.a1 | 30345o1 | \([0, -1, 1, -76970, 8225408]\) | \(7229403136/19845\) | \(138433906416645\) | \([]\) | \(215424\) | \(1.5866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30345.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30345.a do not have complex multiplication.Modular form 30345.2.a.a
sage: E.q_eigenform(10)