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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 7800.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7800.b1 | 7800s1 | \([0, -1, 0, -152833, 23106037]\) | \(-789601498112/2302911\) | \(-1151455500000000\) | \([]\) | \(49280\) | \(1.7607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7800.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7800.b do not have complex multiplication.Modular form 7800.2.a.b
sage: E.q_eigenform(10)