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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 15210t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15210.s1 | 15210t1 | \([1, -1, 0, 359451, -34771307]\) | \(41689615345255319/28343520000000\) | \(-3491950007520000000\) | \([]\) | \(325248\) | \(2.2467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15210t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15210t do not have complex multiplication.Modular form 15210.2.a.t
sage: E.q_eigenform(10)