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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 53312.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53312.t1 | 53312ca1 | \([0, -1, 0, -17425, 1249361]\) | \(-728871512656/410338673\) | \(-329426452103168\) | \([]\) | \(258048\) | \(1.4889\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53312.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 53312.t do not have complex multiplication.Modular form 53312.2.a.t
sage: E.q_eigenform(10)