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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 70602f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.h1 | 70602f1 | \([1, 0, 1, -106909114, 434064874700]\) | \(-28448852731909216489/672475186714464\) | \(-3194327236379642302441824\) | \([]\) | \(14112000\) | \(3.4884\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 70602f do not have complex multiplication.Modular form 70602.2.a.f
sage: E.q_eigenform(10)