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SageMath
E = EllipticCurve("ic1")
E.isogeny_class()
Elliptic curves in class 388416.ic
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.ic1 | 388416ic1 | \([0, 1, 0, -40765569, 102648409983]\) | \(-1184052061112257/34349180544\) | \(-217345088677283767517184\) | \([]\) | \(46448640\) | \(3.2572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416.ic1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388416.ic do not have complex multiplication.Modular form 388416.2.a.ic
sage: E.q_eigenform(10)